A Note on Approximately Amenable Modulo an Ideal of Banach Algebras

Subject Areas : Statistics

H-R. Rahimi ¹ , A. Soltani ²

1 - Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran Corresponding author
2 - Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Received: 2015-04-14 Accepted : 2015-12-16 Published : 2015-08-23

Keywords: تقریبی پذیری نسبت به ایده آل, میانگین تقریبی پذیری نسبت به ا, جبر نیم گروه, تجانس گروه,

Abstract :

In this paper, approximately amenable modulo an ideal of Banach algebras, approximatelyamenable modulo an ideal of second dual of Banach algebras are investigated. Also, using theobtained results, it is shown that 􀝈􀬵(􀜵)⋆⋆ is approximately amenable modulo 􀜫􀰙⋆⋆ if and onlyif 􀜵/􀟪 is finite where 􀜫􀰙 is the induced ideal for the least group congruence 􀟪 on S.

References:

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